By the example of one-dimensional problems of heat transfer and Couette flow, the influence of the statistical dependence between the simulated molecules on the deviation of the numerical solution obtained by the Direct Simulation Monte Carlo method from the solution of the Boltzmann equation is considered. The fraction of repeated collisions is used as the measure of the statistical dependence. The relation between the statistical dependence and the deviation of the numerical solution caused by a finite number of simulated molecules and by spatial and temporal discretization is examined. 565 This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP: 150.135.239.97 On: Tue, 11 Aug 2015 03:05:48 CP762, Rarefied Gas Dynamics: 24 th International Symposium, edited by M. Capitelli
Abstract.A new class of schemes of the DSMC type for computing near-continuum flows has been recently suggested: the time-relaxed Monte Carlo (TRMC) methods. An important step preceding the wide use of these schemes is their validation by classical homogeneous and one-dimensional problems of gas dynamics. For this purpose, a plane Couette flow is considered in the present paper. A comparison of TRMC results with the data obtained by time-proved schemes of the DSMC method (here we used the Majorant Frequency Scheme) in a wide range of Knudsen numbers and for different values of wall velocity is presented.
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